what is the middle product of (-2x+1)(-3-5)?

The rectangle's measurements are 13.2 feet wide by 19.2 feet long, giving it a total area of 253 square feet.

The measurement that indicates the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina. Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

Here,

length of rectangle=l

width=w

l=w+6

area=l*w

253=(w+6)*w

w²+6w-253=0

w=13.2 feet

l=19.2 feet

The dimensions for the rectangle that have area as 253 sq-feet will be 13.2 feet as width and 19.2 feet as length.

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Answer: x=-8

Step-by-step explanation: 12-5x+6x=4                                                                 1. Combine like terms: -5x+6x+12=4                                                                       2. Simplify: x+12-12=4-12                                                                                         3. Subtract 4 from -12 so that you can find out what x is: x=-8

Answer:

C=6π=18.84 ( if π=3.14)

Step-by-step explanation:

distance around the edge of the pond means the circumference of the circle=

C=2πr

C=2π(3)

C=6π=18.84 ( if π=3.14)

The approximate distance around the edge of the pond is 18.84 feet.

Given that, a circular pond has a radius of 3 feet.

The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant π and the diameter of the circle.

We know that, the circumference of a circle is 2πr.

Now, 2×3.14×3

= 18.84 feet

Hence, the approximate distance around the edge of the pond is 18.84 feet.

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Answer:

The answer for your problem will be 0.0625

Answer:

1. 1 1/2 feet

2. 0.46

3a. 0.62 I'm not sure if this one's correct, it's worded weird

3b. -3.43

3c. 0.14

3d. -0.481

Answer:

1 1/5

Step-by-step explanation:

1.6*3/4

4.8/4

1.2

1 1/5

Therefore, the answer is 17/20.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

120 minutes

Step-by-step explanation:

find the LCM

first find the GCF using prime factorization

15=3*5 12=2*2*3 10=2*5

GCF is 5 and 2 respectively

remove from each and multiply

3*2*2*2*5=120

9514 1404 393

Answer:

  TR = 362.0 ft

Step-by-step explanation:

The tangent relation is useful for this.

 Tan = Opposite/Adjacent

 tan(75°) = TR/ST = TR/(97 ft)

  TR = (97 ft)(tan(75°))

  TR ≈ 362.0 ft

Answer:

b. 0.225

Step-by-step explanation:

tan = opposite / adjacent

opposite of A is 9

adjacent of A is 40

9/40=0.225

Answer:

The possible number of students in Mrs. Hayko's class is limited to 15 or 30, as higher multiples of 15 would exceed the desired class size.

Step-by-step explanation:

a)

Let 'x' be the total number of students in Mrs. Hayko's class.

One-third of the students walk to school: (1/3)x.

The remaining students who do not walk to school: (2/3)x.

Four-fifths of the non-walking students take the bus: (4/5) * (2/3)x.

Simplify to find the fraction of students taking the bus: (8/15)x.

b)

Consider different values for 'x' to find a whole number of students taking the bus.

Start with a small number, such as x = 15.

Calculate the number of students taking the bus using (8/15)x.

If the result is a whole number, it's a possible class size.

Repeat with different values of 'x' until a whole number is obtained.

The possible number of students in Mrs. Hayko's class could be 15, 30, or any other multiple of 15.

Answer:

Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

Answers are cost of Arcade game per play and cost of each ferry ride and we can solve.

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Maya used some of her allowance to ride the ferris wheel and play a few rounds of an arcade game.

We could develop a two-variable equation if we knew the total allotment, the cost of each arcade game played, and the cost of each ferry ride.

We can solve the equations to determine how many times Maya visited the Ferris wheel and how many times she played arcade games.

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Answer:

your answer is 38 with a remainder of 1

Step-by-step explanation:

Nominator

191

Denominator

5

38.2= 38 Remainder 1

The result of 191/5 is a terminating decimal with 1 digit to the right of the decimal point.

191 divided by 5 in decimal = 38.2

191 divided by 5 in fraction = 191/5

191 divided by 5 in percentage = 3820%

On dividing 191 by 5, the remainder is 1.

The divisor is the integer that divides a given number. The resultant number is sometimes referred to as the quotient. The residual is the number that the divisor leaves after partially dividing the original integer.

Dividend = Divisor x Quotient + Remainder

On dividing 191 by 5

Step 1: Divide 191 into 5 parts: 191/5 = 38(integer part only)

Step 2: Divide the quotient you just calculated by the divisor (5).

38 × 5 = 190

Step 3: Subtract the result from the initial dividend from step 2 (191) (191):

191 - 190 = 1

Step 4: The remainder is the outcome of step 3:

1 is the result of dividing 191 by 5.

Therefore, the remainder after dividing 191 by 5 is 1.

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The ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

For given question,

We have been given the unit conversion.

A traditional unit of length in Japan is the ken

and 1 ken = 1.97 m

We need to find the the ratios of (a) square kens to square meters.

First we find the square of 1 ken.

⇒ 1 square kens = (1.97 m)²

⇒ 1 square kens = 1.97 × 1.97 m²

⇒ 1 square kens = 3.88 m²                  ..................(1)

And 1 square meters = 1 m²                 ................. (2)

Now we take the ratio of square kens to square meters.

From (1) and (2),

⇒ 1 ken² / 1 m² = 3.88 / 1

⇒ 1 ken² / 1 m² = 3.88

Therefore, the ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

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The probability of drawing a face card followed by condition of drawing non face card is equal to 18% ( approximately).

In a standard deck of cards,

There are 12 face cards 4 jacks, 4 queens, and 4 kings

And 40 non-face cards 10 numbered cards each for the 4 suits.

The probability of drawing a face card on the first draw is

=  12/52

= 3/13.

Assuming a face card was drawn on the first draw,

There are now 51 cards remaining in the deck.

Of which 40 are non-face cards.

Probability of drawing a non-face card on the second draw is

= 40/51.

Probability of both events happening drawing a face card followed by a non-face card

= Multiply the probabilities of the individual events

= (3/13) x (40/51)

= 120/663

=  0.181approximately  

= 18% (rounded to the nearest whole number).

Therefore,  the probability of drawing a face card followed by drawing a non-face card in a standard deck of cards is approximately 18%.

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Lapse rate, temperature

First data

City Goodyear Height = 983 ft. Temperature = 100°. Fh

Find temperature in Carefree city

Height Carefree= 2349 feets

Difference of heights between 2 cities =

2349 ft - 983 ft = 1366 feets

Change in temperature =

3.5 ° F per 1000 feets

T? per. 1366 feets

T= (3.5)•(1366) /1000

T= 4.781 degrees fahrenheit

Then ANSWER IS

Temperature in Goodyear =

100° + 4.781° = 104.781 degrees F

\(\displaystyle\bf\\\textbf{We have a prism with a rectangular triangle base.}\\\\Base~area\!:~~Ab=\frac{3\times4}{2}=\frac{12}{2}=6~km^2\\\\Lateral~area\!:~~Al=(3+4+5)\times9=12\times9=108~km^2\\Total~area\!:~~At=2\times Ab+Al=2\times 6+108=12+108=\boxed{\bf120~km^2}\\\)

Answer:

4320.43

Step-by-step explanation:

You need to figure out the Pythagorean Theorem and then use that answer to find the area. You will then get 4320.43.

Hope this helps.

Answer:

4320.43

Step-by-step explanation:

Answer:I think it's C although I might be wrong

Step-by-step explanation:

Answer: B

Hope this helps :)

Answe

22 is your answers ....

To find the amount of oil that leaks out during the first hour, we need to integrate the rate function r(t) over the interval [0, 60] minutes:

∫₀⁶₀ 100e^(-0.01t) dt

To evaluate this integral, we can use the following property of exponential functions:

∫ e^(kx) dx = (1/k) e^(kx) + C

In this case, the rate function r(t) = 100e^(-0.01t), so we have k = -0.01. Applying the property, we get:

∫₀⁶₀ 100e^(-0.01t) dt = (100/-0.01) e^(-0.01t) ∣₀⁶₀

= -10,000 [e^(-0.0160) - e^(-0.010)]

≈ -10,000 [0.5488 - 1]

≈ -10,000 * (-0.4512)

≈ 4,512 liters

Therefore, approximately 4,512 liters of oil leaks out during the first hour.

To find the number of customers that arrive at the counter over the 60-minute period, we need to find the integral of the rate function F(t) over the interval [0, 60] minutes:

∫₀⁶₀ (12 + 6cos(πt)) dt

To evaluate this integral, we can use the antiderivative of the cosine function:

∫ cos(ax) dx = (1/a) sin(ax) + C

In this case, the rate function F(t) = 12 + 6cos(πt), so we have a = π. Applying the antiderivative, we get:

∫₀⁶₀ (12 + 6cos(πt)) dt = (12t + (6/π)sin(πt)) ∣₀⁶₀

= (12 * 60 + (6/π)sin(π * 60)) - (12 * 0 + (6/π)sin(π * 0))

= (720 + 0) - (0 + 0)

= 720

Therefore, approximately 720 customers arrive at the counter over the 60-minute period.

To find the displacement and distance traveled by the particle over the time interval [0, 3π], we need to integrate the velocity function v(t) = cos(t) over that interval:

Displacement:

∫₀³π cos(t) dt = sin(t) ∣₀³π

= sin(3π) - sin(0)

= 0 - 0

= 0

The displacement is 0, which means the particle ends up at the same position it started.

Distance traveled:

To find the distance traveled, we need to consider the absolute value of the velocity function and integrate over the interval [0, 3π]:

∫₀³π |cos(t)| dt = ∫₀³π cos(t) dt + ∫₀³π (-cos(t)) dt

= sin(t) ∣₀³π - sin(t) ∣₀³π

= sin(3π) - sin(0) + sin(0) - sin(3π)

= 0 - 0 + 0 - 0

= 0

The distance traveled is also 0. This indicates that the particle oscillates back and forth without making any net progress in the positive or negative direction.

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The length of the rectangle is approximately 41.34 inches.

Let's assume the width of the rectangle is represented by the variable w. According to the given information, the length of the rectangle is four less than twice the width, which can be expressed as 2w - 4.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 128 inches. Since a rectangle has two pairs of equal sides, we can set up the equation:

2w + 2(2w - 4) = 128.

Simplifying the equation, we get:

2w + 4w - 8 = 128,

6w - 8 = 128,

6w = 136,

w = 22.67.

So, the width of the rectangle is approximately 22.67 inches. To find the length, we can substitute this value back into the expression 2w - 4:

2(22.67) - 4 = 41.34.

Therefore, the length of the rectangle is approximately 41.34 inches.

In summary, the length of the rectangle is approximately 41.34 inches. This is determined by setting up a system of equations based on the given information: the perimeter of the rectangle being 128 inches and the length being four less than twice the width.

By solving the system of equations, we find that the width is approximately 22.67 inches, and substituting this value back, we obtain the length of approximately 41.34 inches.

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Answer:

y-1=3(x--1)= 3x-y+4

Step-by-step explanation:

mrk me brainliest plz

Answer:

13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

A = (-6,5)

B = (-6,-8)

Length = 5 -(-8)

Length = 13

In this case, Christopher divides the athletes into groups of varsity and junior varsity, which creates the strata. The type of sampling used in this scenario is stratified sampling.

Stratified sampling is a sampling method where the population is divided into homogeneous subgroups or strata, and individuals are randomly selected from each stratum in proportion to their representation in the population. In this case, Christopher divides the athletes into groups of varsity and junior varsity, which creates the strata.

By randomly selecting a proportionate number of individuals from each group, Christopher ensures that both varsity and junior varsity athletes are represented in the sample, maintaining the proportional representation of each group in the population. This method allows for more accurate and representative results by capturing the characteristics of both groups separately.


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There is a positive correlation and as such as time passes, spending increases.

The descriptions of the graph from the question are given as

From the above statements, we can make the following summary

As the year increase, the spending also increase

The above summary is about the correlation of the graph

And it means that there is a positive correlation and as such as time passes, spending increases.

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